# pravesh gets rs 50 per hour of regular work and rs. 88 per hour of overtime work. he works altogether 196 hours and his income from overtime hours is 20% of his income from regular hours. then, for how many hours did he work overtime?

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get pravesh gets rs 50 per hour of regular work and rs. 88 per hour of overtime work. he works altogether 196 hours and his income from overtime hours is 20% of his income from regular hours. then, for how many hours did he work overtime? from screen.

## [Solved] John gets Rs 57 per hour of regular work and Rs 114 per hour

Calculation: Total income = 114 × X + (172 – X) × 57 ATQ, 15% of (172 – X) × 57 = 114X ⇒ (15/100) ×

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## John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime? (type in box)

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime? (type in box) Answer (Detailed Solution Below) 12

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## Detailed Solution

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**Calculation:**

Total income = 114 × X + (172 – X) × 57

ATQ, 15% of (172 – X) × 57 = 114X

⇒ (15/100) × (172 – X) = 2X

⇒ 15 × 172 – 15X = 200X

⇒ 215X = 172 × 15 ⇒ X = 12

**∴**

**He work over time 12 hour.**

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## John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?

Regular hours worked=xovertime worked =yx+y=172_eq1x=172-y_eq2overtime hours is 15% of income from regular hrsi.e, 57x15%=114y8.55x=114y_eq3eq2 in eq38.55(172-y) =114y1470.6-8.55y=114y1470.6=122.55yy=1470.6/122.55=12so, the hours he worked overtime was 12 hrs.

CAT Question > John gets Rs 57 per hour of regular work and ...

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?

Correct answer is '12'. Can you explain this answer?

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Charles Puthussery Aug 04, 2022 Related

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?

Regular hours worked=x

overtime worked =y x+y=172_eq1 x=172-y_eq2

overtime hours is 15% of income from regular hrs

i.e, 57x15%=114y 8.55x=114y_eq3 eq2 in eq3 8.55(172-y) =114y 1470.6-8.55y=114y 1470.6=122.55y y=1470.6/122.55 =12

so, the hours he worked overtime was 12 hrs.

Upvote | 4 Reply

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Feb 18, 2022

It is given that John works altogether 172 hours i.e including regular and overtime hours.

Let a be the regular hours, 172-a will be the overtime hours

John's income from regular hours = 57*a

John's income for working overtime hours = (172-a)*144

It is given that his income from overtime hours is 15% of his income from regular hours a*57*0.15 = (172-a)*114

a=160

The number of hours for which he worked overtime = 172-160=12 hrs

Upvote | 1 Reply

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Zain Iqrar Apr 10, 2020 Related

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?

Let no. of hours of regular work =x

no. of hours of overtime=y.

x+y=172. ----eqn 1 income relation, 114*y = 57*x*15/100 3x = 40y x=40/3y put in eqn 1 40/3y+y = 172 y=12 Upvote | 4 Reply

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Abhishek Kumar Jul 11, 2022

Let the regular work time be 'x' hrs.

and overtime be y hrs.

then, x+y = 172 -- (1)

and, 0.15*57*x=114*y => 0.15*x = 2*y

=> x = (40/3) *y -- (2)

Solving equations (1) and (2);

we get, y = 12 hrs. Upvote Reply

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John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? for CAT 2022 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? covers all topics & solutions for CAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?.

Solutions for John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer?, a detailed solution for John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? has been provided alongside types of John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?Correct answer is '12'. Can you explain this answer? tests, examples and also practice CAT tests.

## Quantitative Aptitude

Quantitative Aptitude - Arithmetic - Time and work - John gets Rs 57 per hour of regular Slot - 2 - Quantitative Aptitude - Arithmetic - Time and work - John gets Rs 57 per hour of regular John gets Rs 57 per hour of regular - Video Solution

## Quantitative Aptitude – Arithmetic – Time and work – John gets Rs 57 per hour of regular

## Slot – 2 – Quantitative Aptitude – Arithmetic – Time and work – John gets Rs 57 per hour of regular

Quantitative Aptitude – Arithmetic – Time and work – John gets Rs 57 per hour of regular Slot – 2 – Quantitative Aptitude – Arithmetic – Time and work – John gets Rs 57 per hour of regular John gets Rs 57 per hour of regular – Video Solution

**Q. John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?**

**Answer: 12**

**Solution:**let the number of overtime hours for john = x

So no regular hours = 172 –x

Income from overtime hours = (x)*114

Income from regular hours = (172-x)*57

Total income = 114x + (172 –x)*57 = 172*57 + 57x

As per question 15% of (172 – x) *57 = 114x

15/100 (172 +x)= 2x

15*172* – 15x = 200x

215x = 15*172 x = 12

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Guys, does anyone know the answer?

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